Let be continuous on and differentiable on with f'(x)=(x-2)(x+1)

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let ff be continuous on [0,4][0,4] and differentiable on (0,4)(0,4) with f′(x)=(x−2)(x+1).f'(x)=(x-2)(x+1). At which value of xx does ff attain its absolute minimum on [0,4][0,4]? (a) x=0x=0 (b) x=2x=2 (c) x=4x=4 (d) x=−1x=-1

Related theory

Browse the problem library